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Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

Physics and Society · Physics 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

We formulate a very general framework for optimal dynamic stochastic control problems which allows for a control-dependent informational structure. The issue of informational consistency is investigated. Bellman's principle is formulated…

Probability · Mathematics 2018-05-16 Saul Jacka , Matija Vidmar

We study synchronization in scalar nonlinear systems connected over a linear network with stochastic uncertainty in their interactions. We provide a sufficient condition for the synchronization of such network systems expressed in terms of…

Optimization and Control · Mathematics 2017-02-20 Amit Diwadkar , Umesh Vaidya

We predict the structural interaction of crystalline solid-melt interfaces using amplitude equations which are derived from classical density functional theory or phase-field-crystal modeling. The solid ordering decays exponentially on the…

Materials Science · Physics 2015-06-12 Robert Spatschek , Ari Adland , Alain Karma

Within an increasingly digitalized organizational landscape, this research delves into the dynamics of decentralized collaboration, contrasting it with traditional collaboration models. An effective capturing of high-level collaborations…

Social and Information Networks · Computer Science 2024-10-10 Negin Maddah , Babak Heydari

We investigate how the response of coupled dynamical systems is modified due to a structural alteration of the interaction. The majority of the literature focuses on additive perturbations and symmetrical interaction networks. Here, we…

Disordered Systems and Neural Networks · Physics 2026-01-27 Melvyn Tyloo

In this paper, we are interested in solving Network Utility Maximization (NUM) problems whose underlying local utilities and constraints depend on a complex stochastic dynamic environment. While the general model applies broadly, this work…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Anna Scaglione , Nurullah Karakoc

Network models are useful tools for modelling complex associations. If a Gaussian graphical model is assumed, conditional independence is determined by the non-zero entries of the inverse covariance (precision) matrix of the data. The…

Methodology · Statistics 2023-04-18 Camilla Lingjærde , Benjamin P. Fairfax , Sylvia Richardson , Hélène Ruffieux

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yuchen Zhang , Bo Chen , Li Yu , Daniel W. C. Ho

Simulating how organized groups (e.g., corporations) make decisions (e.g., responding to a competitor's move) is essential for understanding real-world dynamics and could benefit relevant applications (e.g., market prediction). In this…

Computation and Language · Computer Science 2026-04-14 Xinkai Zou , Yiming Huang , Zhuohang Wu , Jian Sha , Nan Huang , Longfei Yun , Jingbo Shang , Letian Peng

In this paper, we consider networked estimation of linear, discrete-time dynamical systems monitored by a network of agents. In order to minimize the power requirement at the (possibly, battery-operated) agents, we require that the agents…

Multiagent Systems · Computer Science 2015-03-13 Mohammadreza Doostmohammadian , Usman A. Khan

Modeling human behavioral data is challenging due to its scale, sparseness (few observations per individual), heterogeneity (differently behaving individuals), and class imbalance (few observations of the outcome of interest). An additional…

Computers and Society · Computer Science 2018-10-24 Peter G Fennell , Zhiya Zuo , Kristina Lerman

Temporal Graph Neural Networks (TGNNs) have emerged as powerful tools for modeling dynamic interactions across various domains. The design space of TGNNs is notably complex, given the unique challenges in runtime efficiency and scalability…

Machine Learning · Computer Science 2024-12-31 Yuxin Yang , Hongkuan Zhou , Rajgopal Kannan , Viktor Prasanna

In this paper, we extended previous studies of cooperating autonomous robots to include situations when environmental changes and changes in the number of robots in the swarm can affect the efficiency to execute tasks assigned to the swarm…

Robotics · Computer Science 2019-01-04 Bogdan Czejdo , Wiktor B. Daszczuk , Waldemar Grabski , Sambit Bhattacharya

The stochastic block model (SBM) is a flexible probabilistic tool that can be used to model interactions between clusters of nodes in a network. However, it does not account for interactions of time varying intensity between clusters. The…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

Large scale systems are forecasted to greatly impact our future lives thanks to their wide ranging applications including cooperative robotics, mobility on demand, resource allocation, supply chain management. While technological…

Optimization and Control · Mathematics 2024-12-20 Dario Paccagnan

The performance and behavior of large-scale distributed applications is highly influenced by network properties such as latency, bandwidth, packet loss, and jitter. For instance, an engineer might need to answer questions such as: What is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Paulo Gouveia , João Neves , Carlos Segarra , Luca Liechti , Shady Issa , Valerio Schiavoni , Miguel Matos

In the context of the linear programming (LP) approach to data-driven control, one assumes that the dynamical system is unknown but can be observed indirectly through data on its evolution. Both theoretical and empirical evidence suggest…

Optimization and Control · Mathematics 2021-09-28 Andrea Martinelli , Matilde Gargiani , John Lygeros

In a series of two papers, we investigate the large deviations and asymptotic behavior of stochastic models of brain neural networks with random interaction coefficients. In this first paper, we take into account the spatial structure of…

Probability · Mathematics 2017-01-05 Tanguy Cabana , Jonathan Touboul

We consider discrete-time infinite horizon deterministic optimal control problems with nonnegative cost per stage, and a destination that is cost-free and absorbing. The classical linear-quadratic regulator problem is a special case. Our…

Optimization and Control · Mathematics 2017-12-20 Dimitri P. Bertsekas
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